New mom Halle Berry was still recovering in the hospital yesterday after giving birth to a baby girl on Sunday.

“Both mom and baby are doing well,” revealed an insider at Cedars-Sinai Medical Center in Los Angeles.

The Oscar winner, 41, and her male-model boyfriend, Gabriel Aubry, 32, have a private birthing suite on the hospital’s third floor. Their new bundle of joy isn’t on public display within the maternity ward’s viewing area.

One grandmother visiting her own new tot in the maternity ward told PageSix.com, “Halle’s daughter is with her parents. Everybody is desperate to get a peek at their child, who is bound to be just gorgeous.”

“My daughter was brought in at the same time as Halle on Sunday morning, and they were both encouraging each other to be upbeat.”

The twice-divorced actress evaded the paparazzi when Gabriel drove her to Cedars from their nearby Hollywood Hills home during the early hours of Sunday morning.

Halle gave birth just after 10 a.m. with her French Canadian boyfriend by her side. The pin-up pair met while they were filming a Versace ad together in November 2005.

The health-conscious star told InStyle magazine in January, “I may only do this one time, so I want that moment to be as big as it can be.”

One of her assistants was spotted on Monday taking bags of food from trendy eatery Joan’s on Third directly to her suite.

The proud parents have yet to choose a name, but sources claim the new arrival may be called Clara Stella Berry-Aubry. It is expected that mom and baby will be released within the week.

WENN